Not getting enough of sleep is causing you to not rest properly. If you continue draining your body through cycling after sleeping poorly, you will damage yourself.
This is from a blog (plenty of them describing the studies): "Lack of sleep looks and acts like intoxication. Fatigue or lack of sleep slow reaction time, make you unsteady on your feet and can affect speech as well as other cranial nerve functions." Basically this says that if you continue to drive without solving your sleeping problems first, the probability that someone else will commute to work on your bike, possibly to the job that you now do, increases.